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Finding the Third Proportional to 66,812 and 139,130

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Solution

The third proportional to 66,812 and 139,130 is: 289,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,812 : 139,130 = 139,130 : x
  2. Step 2: Convert to fraction form
    66,812/139,130 = 139,130/x
  3. Step 3: Cross multiply
    66,812x = 139,130 × 139,130
  4. Step 4: Simplify right side
    66,812x = 19,357,156,900
  5. Step 5: Solve for x
    x = 19,357,156,900/66,812
  6. Step 6: Final answer
    x = 289,725.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.